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Finite mixture models, typically Gaussian mixtures, are well known and widely used as model-based clustering. In practical situations, there are many non-Gaussian data that are heavy-tailed and/or asymmetric. Normal inverse Gaussian (NIG)…

Machine Learning · Statistics 2020-09-15 Takashi Takekawa

Gravitational waves from binary neutron star coalescences contain rich information about matter at supranuclear densities encoded by the neutron star equation of state. We can measure the equation of state by analyzing the tidal…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Francisco Hernandez Vivanco , Rory Smith , Eric Thrane , Paul D. Lasky , Colm Talbot , Vivien Raymond

We consider estimating the parameters of a Gaussian mixture density with a given number of components best representing a given set of weighted samples. We adopt a density interpretation of the samples by viewing them as a discrete Dirac…

Machine Learning · Statistics 2025-04-03 Daniel Frisch , Uwe D. Hanebeck

We present a novel machine-learning approach to estimate selection effects in gravitational-wave observations. Using techniques similar to those commonly employed in image classification and pattern recognition, we train a series of…

High Energy Astrophysical Phenomena · Physics 2020-11-18 Davide Gerosa , Geraint Pratten , Alberto Vecchio

The tidal deformability probability distribution extracted from GW170817 alone, or including multi-messenger information, is confronted to astrophysical and nuclear physics additional constraints within a semi-agnostic approach for the…

Nuclear Theory · Physics 2020-07-31 H. Güven , K. Bozkurt , E. Khan , J. Margueron

The recent Nobel-prize-winning detections of gravitational waves from merging black holes and the subsequent detection of the collision of two neutron stars in coincidence with electromagnetic observations have inaugurated a new era of…

General Relativity and Quantum Cosmology · Physics 2018-02-06 Daniel George , E. A. Huerta

We anticipate the first direct detections of gravitational waves (GWs) with Advanced LIGO and Virgo later this decade. Though this groundbreaking technical achievement will be its own reward, a still greater prize could be observations of…

As a step towards a more accurate modelling of redshift-space distortions in galaxy surveys, we develop a general description of the probability distribution function of galaxy pairwise velocities within the framework of the so-called…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-04 Davide Bianchi , Matteo Chiesa , Luigi Guzzo

The recent Nobel-prize-winning detections of gravitational waves from merging black holes and the subsequent detection of the collision of two neutron stars in coincidence with electromagnetic observations have inaugurated a new era of…

General Relativity and Quantum Cosmology · Physics 2017-12-13 Daniel George , E. A. Huerta

The detection of the binary neutron star (BNS) merger, GW170817, was the first success story of multi-messenger observations of compact binary mergers. The inferred merger rate along with the increased sensitivity of the ground-based…

Instrumentation and Methods for Astrophysics · Physics 2020-06-24 Deep Chatterjee , Shaon Ghosh , Patrick R. Brady , Shasvath J. Kapadia , Andrew L. Miller , Samaya Nissanke , Francesco Pannarale

Joint gravitational wave (GW) and electromagnetic (EM) observations, as a key research direction in multi-messenger astronomy, will provide deep insight into the astrophysics of a vast range of astronomical phenomena. Uncertainties in the…

High Energy Astrophysical Phenomena · Physics 2015-06-19 Xilong Fan , Christopher Messenger , Ik Siong Heng

We present an improved search for binary compact-object mergers using a network of ground-based gravitational-wave detectors. We model a volumetric, isotropic source population and incorporate the resulting distribution over signal…

General Relativity and Quantum Cosmology · Physics 2018-05-29 Alexander H. Nitz , Thomas Dent , Tito Dal Canton , Stephen Fairhurst , Duncan A. Brown

Bayesian graphical modeling provides an appealing way to obtain uncertainty estimates when inferring network structures, and much recent progress has been made for Gaussian models. These models have been used extensively in applications to…

Methodology · Statistics 2012-07-06 Michael Finegold , Mathias Drton

In order to extract information about the properties of compact binaries, we must estimate the noise power spectral density of gravitational-wave data, which depends on the properties of the gravitational-wave detector. In practice, it is…

Instrumentation and Methods for Astrophysics · Physics 2020-06-18 Colm Talbot , Eric Thrane

Modelling noise in gravitational-wave observatories is crucial for accurately inferring the properties of gravitational-wave sources. We introduce a transdimensional Bayesian approach to characterise the noise in ground-based…

Instrumentation and Methods for Astrophysics · Physics 2025-03-10 Nir Guttman , Paul D. Lasky , Eric Thrane

Gravitational wave astronomy has established its role in measuring the equation of state governing cold supranuclear matter. To date and in the near future, gravitational wave measurements from neutron star binaries are likely to be…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Ka Wa Tsang , Tim Dietrich , Chris Van Den Broeck

Both observational and theoretical rates of binary neutron star coalescence give low prospects for detection of a single event by the initial LIGO/VIRGO interferometers. However, by utilizing at the best all the a priori information on the…

Astrophysics · Physics 2007-05-23 S. Bonazzola , E. Gourgoulhon

An observation of gravitational waves is a trigger of the multi-messenger search of an astronomical event. A combination of the data from two or three gravitational wave telescopes indicates the location of a source and low-latency data…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Seiya Sasaoka , Hirotaka Takahashi , Yilun Hou , Kentaro Somiya

We present initial results on the use of Mixture Models for density estimation in large astronomical databases. We provide herein both the theoretical and experimental background for using a mixture model of Gaussians based on the…

Astrophysics · Physics 2007-05-23 R. C. Nichol , A. J. Connolly , A. W. Moore , J. Schneider , C. Genovese , L. Wasserman

The detection of gravitational waves from compact binary coalescences has provided significant insights into our Universe, and the discovery of new and unique gravitational wave candidates from independent searches remains an ongoing field…

General Relativity and Quantum Cosmology · Physics 2025-12-05 Damon Beveridge , Alistair McLeod , Linqing Wen , Weichangfeng Guo , Andreas Wicenec
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